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Finding the Fourth Proportional to 840.91, 1,160.28 and 491.53

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Solution

The fourth proportional to 840.91, 1,160.28 and 491.53 is: 678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.91 : 1,160.28 = 491.53 : x
  2. Step 2: Convert to fraction form
    840.91/1,160.28 = 491.53/x
  3. Step 3: Cross multiply
    840.91x = 1,160.28 × 491.53
  4. Step 4: Simplify right side
    840.91x = 570,304.17
  5. Step 5: Solve for x
    x = 570,304.17/840.91
  6. Step 6: Final answer
    x = 678.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.